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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
RE.PUBLIC@POLIMI Research Publications at Politecnico di Milano
Article . 2017
Full-Text: https://re.public.polimi.it/bitstream/11311/1015757/1/Maluta_LUR.pdf
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A diametrically complete set with empty interior in a reflexive LUR space

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2017 Italy English
Authors: MALUTA, ELISABETTA;

handle: 11311/1015757

A diametrically complete set with empty interior in a reflexive LUR space

Abstract

Abstract. We prove that a suitable renorming of l_2, known to be LUR and to lack normal structure, contains diametrically complete sets whose interior is empty. As a consequence, we answer in the negative the question, opened by Moreno, Papini and Phelps in 2006, whether diametrically complete sets in LUR spaces must be, in some sense, locally uniformly rotund.

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Italy
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Keywords

diametrically complete set, LUR space.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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